3430312000 has 224 divisors, whose sum is σ = 9000036864. Its totient is φ = 1292544000.

The previous prime is 3430311943. The next prime is 3430312007. The reversal of 3430312000 is 2130343.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3430312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18951910 + ... + 18952090.

It is an arithmetic number, because the mean of its divisors is an integer number (40178736).

Almost surely, 2^3430312000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500018432).

3430312000 is an abundant number, since it is smaller than the sum of its proper divisors (5569724864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430312000 is a wasteful number, since it uses less digits than its factorization.

3430312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3430312000 is about 58568.8654491446. The cubic root of 3430312000 is about 1508.1500084130.

Adding to 3430312000 its reverse (2130343), we get a palindrome (3432442343).

The spelling of 3430312000 in words is "three billion, four hundred thirty million, three hundred twelve thousand".